Читать книгу Linear Algebra - Michael L. O'Leary - Страница 2
Table of Contents
Оглавление1 Cover
5 Preface
8 CHAPTER 1: Logic and Set Theory 1.1 Statements 1.2 Sets and Quantification 1.3 Sets and Proofs 1.4 Functions
9 CHAPTER 2: Euclidean Space 2.1 Vectors 2.2 Dot Product 2.3 Cross Product
10 CHAPTER 3: Transformations and Matrices 3.1 Linear Transformations 3.2 Matrix Algebra 3.3 Linear Operators 3.4 Injections and Surjections 3.5 Gauss‐Jordan Elimination
11 CHAPTER 4: Invertibility 4.1 Invertible Matrices 4.2 Determinants 4.3 Inverses and Determinants 4.4 Applications
12 CHAPTER 5: Abstract Vectors 5.1 Vector Spaces 5.2 Subspaces 5.3 Linear Independence 5.4 Basis and Dimension 5.5 Rank and Nullity 5.6 Isomorphism
13 CHAPTER 6: Inner Product Spaces 6.1 Inner Products 6.2 Orthonormal Bases
14 CHAPTER 7: Matrix Theory 7.1 Eigenvectors and Eigenvalues 7.2 Minimal Polynomial 7.3 Similar Matrices 7.4 Diagonalization
16 Index
